Scope of Logic Theorems – Call for papers

In view of the speedy and huge expansion of the universe of logics, the
question of the scope of validity and domain of application of
fundamental logic theorems is more than ever crucial. What is true for
classical logic and theories based on it, does not necessarily hold for
non-classical logics.

But we may wonder if there is a logic deserving the name in which a theorem
such as the incompleteness theorem does not hold. On the other hand a
theorem such as cut-elimination does not hold for many interesting logical
systems. Cut-elimination expresses the intrinsic analycity of a logic, the
fact that a proof of a theorem depends only of its constituents, a not
always welcome feature. Anyway, it is interesting to find necessary and/or
sufficient conditions for cut-elimination to hold. And also for any
important theorem of logic.

Any paper dealing with the scope of validity and domain of application of
logic theorems is welcome, in particular those dealing with the following
theorems: